3214142413000 has 128 divisors (see below), whose sum is σ = 7878933504000. Its totient is φ = 1225610131200.

The previous prime is 3214142412991. The next prime is 3214142413019. The reversal of 3214142413000 is 3142414123.

It is a super-2 number, since 2×3214142413000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1589529 + ... + 2992471.

It is an arithmetic number, because the mean of its divisors is an integer number (61554168000).

Almost surely, 2^{3214142413000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3214142413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3939466752000).

3214142413000 is an abundant number, since it is smaller than the sum of its proper divisors (4664791091000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3214142413000 is a wasteful number, since it uses less digits than its factorization.

3214142413000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403072 (or 1403058 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 3214142413000 its reverse (3142414123), we get a palindrome (3217284827123).

The spelling of 3214142413000 in words is "three trillion, two hundred fourteen billion, one hundred forty-two million, four hundred thirteen thousand".